`5^x. 5^(x + 1). 5^(x + 2) ... 5^(x + 100) = 5^6060`
`=> 5^(x + (x + 1) + (x + 2) + ... + (x + 100)) = 5^6060`
`=> 5^((x + x + x + ... + x) + (1 + 2 + .. + 100)) = 5^6060`
`=> 5^(101x + (1 + 2 + ... + 100))= 5^6060`
`=> 101x + (1 + 2 + ... + 100) = 6060`
`=> 101x + (1 + 100) . 100/2 = 6060`
`=> 101x + 101 . 50 = 6060`
`=> 101. (x + 50) = 6060`
`=> x + 50 = 6060 : 101`
`=> x + 50 = 60`
`=> x = 60 - 50`
`=> x = 10`
